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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    In mathematics, the factorial of a non-negative integer, denoted by !, is the product of all positive integers less than or equal to . The factorial of also equals the product of with the next smaller factorial: ! = () = ()! For example, ! =! = =

  3. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    The rising and falling factorials are well defined in any unital ring, and therefore can be taken to be, for example, a complex number, including negative integers, or a polynomial with complex coefficients, or any complex-valued function.

  4. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    Double factorial. The fifteen different chord diagrams on six points, or equivalently the fifteen different perfect matchings on a six-vertex complete graph. These are counted by the double factorial 15 = (6 − 1)‼. In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that ...

  5. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    Stirling's approximation. Comparison of Stirling's approximation with the factorial. In mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate results even for small values of .

  6. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    Definition. The factorial number system is a mixed radix numeral system: the i -th digit from the right has base i, which means that the digit must be strictly less than i, and that (taking into account the bases of the less significant digits) its value is to be multiplied by (i − 1)! (its place value). Radix/Base. 8.

  7. Fractional factorial design - Wikipedia

    en.wikipedia.org/wiki/Fractional_factorial_design

    Each generator halves the number of runs required. A design with p such generators is a 1/(l p)=l −p fraction of the full factorial design. [3] For example, a 2 5 − 2 design is 1/4 of a two-level, five-factor factorial design. Rather than the 32 runs that would be required for the full 2 5 factorial experiment, this experiment requires only ...

  8. These Calculators Make Quick Work of Standard Math ... - AOL

    www.aol.com/best-calculators-students...

    12C Financial Calculator. With more than 120 different built-in functions, such as amortization, cash flow, and loan payments, this HP financial calculator makes quick work of your accounting ...

  9. Permutation - Wikipedia

    en.wikipedia.org/wiki/Permutation

    In mathematics, a permutation of a set can mean one of two different things: an arrangement of its members in a sequence or linear order, or. the act or process of changing the linear order of an ordered set. [1] An example of the first meaning is the six permutations (orderings) of the set {1, 2, 3}: written as tuples, they are (1, 2, 3), (1 ...